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Two Lorentz transformations differ by an infinitesimal amount. In the notation of section 11.7, they are represented as, A1
e ; L
A2
Show that, to first order, the Lorentz transform A I L
Proof of the baker-hausdorff expansion [I.2]: consult QM 08 - 055 - pr 9-2 - exponentials as unitary operators and baker-hausdorff. baker-hausdorff. That means means we can can take the following as given, e
A
Be
A
B A, B
2
3
A, A, B A, A, A, B ... 2! 3!
Huh? Weird. There must be some really tiny detail det ail that I’m missing.
